<div class="products index">
  <section class="search">
    <h2><?php echo __('Listado de Productos'); ?></h2>
    <?php echo $this->Form->input('Buscar:', array('class' => 'searchProduct', 'id' => 'searchProduct')) ?>
  </section>
  <div id="products_list">
    <?php echo $this->element('products/table'); ?>
  </div>
</div>

<script>
  $(document).ready(function(){
        
    //       Ajax Search keys press
    $('#searchProduct').keyup(function() {
      var name = $("#searchProduct").val();
      $("#products_list").load('<? echo $this->Html->url('../Products/search') ?>',{name:name});
    });
        
  });
</script>